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Finding the Third Proportional to 256,439 and 593,611

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Solution

The third proportional to 256,439 and 593,611 is: 1,374,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,439 : 593,611 = 593,611 : x
  2. Step 2: Convert to fraction form
    256,439/593,611 = 593,611/x
  3. Step 3: Cross multiply
    256,439x = 593,611 × 593,611
  4. Step 4: Simplify right side
    256,439x = 352,374,019,321
  5. Step 5: Solve for x
    x = 352,374,019,321/256,439
  6. Step 6: Final answer
    x = 1,374,104.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.